Section 3.1 (Sullivan, 8th ed.) MAC1140, MAC11473-1: FunctionsA function from set X into set Y is a relation that associates with each element ofX exactly one element of Y; however, one element of Y may be associated withmore than one element of X. The domain is the set of all possible X elements; therange is the set of all possible Y elements. A function f(x) tells us what to do withthe independent variable (x) in order to obtain the dependent variable (y).Determine whether the relation represents a function: (1) x2 – y + 1 = 0 (2) x2 + y2 = 4 [3]y = 5 4 x� -Find the following values for each function: a. f (-3) b. f(x-3)c. f(x + h)[4] If ( )2x - 1f x =x+4a. b. c.If f(x) = 2x2 + 3x – 1, find: [5]f(-x) [6]-f(x) [7] x if f(x) = 8Find the domain and range of the following functions: [8] f(x) = 5x2 + 2 (9) f(x) =x1 (10)xg( x )x85 7 [domain only]Section 3.1 (Sullivan, 8th ed.) MAC1140, MAC1147overSection 3.1 (Sullivan, 8th ed.) MAC1140, MAC1147Find the domain:11. f(x) = xx++223 5512. f(x) = xx x+-233 53Sum of two function f + g : (f + g)(x) = f(x) + g(x). The domain of f + g consists of the numbers x that are in the domain of f and the domain of g.Difference of two function f - g : (f - g)(x) = f(x) - g(x). The domain of f - g consists of the numbers x that are in the domain of f and the domain of g.Product of two function f . g : (f . g)(x) = f(x) . g(x). The domain of f . g consists of the numbers x that are in the domain of f and the domain of g.Quotient of two function fg: (fg)(x) = f xg x( )( )The domain of fgconsists of the numbers x that are in the domain of f and the domain of g. If f(x) = 2x + 1 and g(x) = 3x – 2, find the following and state the domain:(13) (f + g)(x) (14) (f - g)(5)If f(x) = x +3 and g(x) = x2 - 8x + 16, find the following and state the domain::(15) (f . g)(x) = (16) (fg)(x ) = 17.Find the difference quotient, ( ) ( )g x h g xh+ -, for g(x).18.If ( )x Bf xx A-=-, f(2) = 0, and f(1) is undefined, what are the values of A and